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1332101313 = 321512713617
BaseRepresentation
bin100111101100110…
…0100000011000001
310102211120202110200
41033121210003001
510212004220223
6340103315413
745003450204
oct11731440301
93384522420
101332101313
11623a33484
1231214bb69
13182c9753a
14c8cb993b
157be31a43
hex4f6640c1

1332101313 has 24 divisors (see below), whose sum is σ = 1944573696. Its totient is φ = 878688000.

The previous prime is 1332101297. The next prime is 1332101333. The reversal of 1332101313 is 3131012331.

It is a happy number.

It is not a de Polignac number, because 1332101313 - 24 = 1332101297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1332101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366481 + ... + 370097.

It is an arithmetic number, because the mean of its divisors is an integer number (81023904).

Almost surely, 21332101313 is an apocalyptic number.

It is an amenable number.

1332101313 is a deficient number, since it is larger than the sum of its proper divisors (612472383).

1332101313 is a wasteful number, since it uses less digits than its factorization.

1332101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1332101313 is about 36497.9631349477. The cubic root of 1332101313 is about 1100.3033083706.

Adding to 1332101313 its reverse (3131012331), we get a palindrome (4463113644).

The spelling of 1332101313 in words is "one billion, three hundred thirty-two million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 151 271 453 813 1359 2439 3617 10851 32553 40921 122763 368289 546167 980207 1638501 2940621 4915503 8821863 148011257 444033771 1332101313